Limit Cycles Bifurcating from a Periodic Annulus in Discontinuous Planar Piecewise Linear Hamiltonian Differential System with Three Zones
DOI10.1142/S0218127422501140zbMath1504.34030arXiv2109.10311OpenAlexW3201642550WikidataQ114072972 ScholiaQ114072972MaRDI QIDQ5094740
Claudio Pessoa, Ronisio Ribeiro
Publication date: 4 August 2022
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.10311
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Linear ordinary differential equations and systems (34A30) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Discontinuous ordinary differential equations (34A36) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)
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